| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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| 1. |
Bezrodnykh S.I., Vlasov V.I., Somov B.V., “Analiticheskaya model magnitnogo peresoedineniya pri nalichii prisoedinennykh k tokovomu sloyu udarnykh voln”, Pisma v Astron. zhurn., 33:2 (2007), 153–160  
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48
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| 2. |
Bezrodnykh S.I., Vlasov V.I., Somov B.V., “Obobschennye analiticheskie modeli tokovogo sloya Syrovatskogo”, Pisma v Astronomicheskii zhurnal, 37:2 (2011), 133–150
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47
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| 3. |
S. I. Bezrodnykh, “The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications”, Russian Math. Surveys, 73:6 (2018), 941–1031       |
| 4. |
S. I. Bezrodnykh, V. I. Vlasov, “The Riemann–Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma”, Comput. Math. Math. Phys., 42:3 (2002), 263–298 |
| 5. |
S. I. Bezrodnykh, “Analytic continuation of the Lauricella function $F_D^{(N)}$ with arbitrary number of variables”, Integral Transforms Spec. Funct., 29:1 (2018), 21–42
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19
[x]
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| 6. |
S. I. Bezrodnykh, “Analytic continuation of the Appell function $F_1$ and integration of the associated system of equations in the logarithmic case”, Comput. Math. Math. Phys., 57:4 (2017), 559–589 |
| 7. |
S. I. Bezrodnykh, “Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables”, Integral Transforms Spec. Funct., 31:10 (2020), 788–803
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16
[x]
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| 8. |
Sergei Bezrodnykh, Andrei Bogatyrëv, Sergei Goreinov, Oleg Grigor'ev, Harri Hakula, Matti Vuorinen, “On capacity computation for symmetric polygonal condensers”, J. Comput. Appl. Math., 361 (2019), 271–282
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12
[x]
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| 9. |
S. I. Bezrodnykh, V. I. Vlasov, “Singular Riemann–Hilbert problem in complex-shaped domains”, Comput. Math. Math. Phys., 54:12 (2014), 1826–1875 |
| 10. |
Bezrodnykh S.I., “Analytic continuation of Lauricella's function $F_D^{(N)}$ for variables close to unit near hyperplanes $\{z_j = z_l\}$”, Integral Transforms and Special Functions, 33:5 (2022), 419–433
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11
[x]
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| 11. |
S. I. Bezrodnykh, “On the Analytic Continuation of the Lauricella Function $F_D^{(N)}$”, Math. Notes, 100:2 (2016), 318–324 |
| 12. |
Bezrodnykh S.I., “Formuly analiticheskogo prodolzheniya i sootnosheniya tipa Yakobi dlya funktsii Laurichelly”, Doklady Akademii nauk, 467:1 (2016), 7–12
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10
[x]
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| 13. |
Bezrodnykh S.I., “Analytic continuation of Lauricella's function $F_D^{(N)}$ for large in modulo variables near hyperplanes $\{z_j = z_l\}$”, Integral Transforms and Special Functions, 33:4 (2022), 276-291
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9
[x]
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| 14. |
S. I. Bezrodnykh, “Analytic continuation of Lauricella's functions $F_A^{(N)}$, $F_B^{(N)}$ and $F_D^{(N)}$”, Integral Transforms Spec. Funct., 31:11 (2020), 921–940
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8
[x]
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| 15. |
S. I. Bezrodnykh, V. I. Vlasov, “Asymptotics of the Riemann–Hilbert Problem for a Magnetic Reconnection Model in Plasma”, Computational Mathematics and Mathematical Physics, 60:11 (2020), 1898–1914 |
| 16. |
Bezrodnykh S.I., Somov B.V., “Analysis of magnetic field and magnetosphere of neutron star under effect of a shock wave”, Advances in Space Research, 56 (2015), 964–969
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8
[x]
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| 17. |
S. I. Bezrodnykh, “Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons”, Comput. Math. Math. Phys., 63:11 (2023), 1955–1988 |
| 18. |
Math. Notes, 110:6 (2021), 853–871 |
| 19. |
S. I. Bezrodnykh, “Lauricella Function and the Conformal Mapping of Polygons”, Math. Notes, 112:4 (2022), 505–522 |
| 20. |
S. I. Bezrodnykh, V. I. Vlasov, “On a problem of the constructive theory of harmonic mappings”, Journal of Mathematical Sciences, 201:6 (2014), 705–732 |
| 21. |
S. I. Bezrodnykh, N. M. Gordeeva, “Analytic solution of the system of integro-differential equations for the plasma model in an external field”, Russian Journal of Mathematical Physics, 30:4 (2023), 443-452
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5
[x]
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| 22. |
Math. Notes, 99:6 (2016), 932–937 |
| 23. |
S. I. Bezrodnykh, “Jacobi-Type Differential Relations for the Lauricella Function $F_D^{(N)}$”, Math. Notes, 99:6 (2016), 821–833 |
| 24. |
S. I. Bezrodnykh, “Formulas for computing the Lauricella function in the case of crowding of variables”, Comput. Math. Math. Phys., 62:12 (2022), 2069–2090 |
| 25. |
Bezrodnykh S.I., “Analytic continuation of the Kampé de Fériet function and the general double Horn series”, Integral Transforms and Special Functions, 2022 (Published online) , 21 pp.
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3
[x]
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| 26. |
S. I. Bezrodnykh, “Horn's hypergeometric functions with three variables”, Integral Transforms Spec. Funct., 32:3 (2021), 207–223
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3
[x]
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| 27. |
S. I. Bezrodnykh, “Finding the Coefficients in the New Representation of the Solution of the Riemann–Hilbert Problem Using the Lauricella Function”, Math. Notes, 101:5 (2017), 759–777 |
| 28. |
S. I. Bezrodnykh, V. I. Vlasov, “Application of the multipole method to direct and inverse problems for the Grad–Shafranov equation with a nonlocal condition”, Comput. Math. Math. Phys., 54:4 (2014), 631–695 |
| 29. |
Bezrodnykh S.I., Somov B.V., “Analiticheskoe reshenie zadachi o vzaimodeistvii udarnoi volny s magnitosferoi neitronnoi zvezdy”, Doklady Akademii nauk, 457:4 (2014), 406–410
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3
[x]
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| 30. |
Bezrodnykh S.I., Demidov A.S., “On the uniqueness of solution Cauchy's inverse problem for the equation $\Delta u=au+b$”, Asymptotic Analysis, 74:2 (2011), 95–121
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3
[x]
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| 31. |
S. I. Bezrodnykh, V. I. Vlasov, “Effective method for solving singularly perturbed systems of nonlinear differential equations”, Journal of Mathematical Sciences, 149:4 (2008), 1385–1399 |
| 32. |
S. I. Bezrodnykh, V. B. Zametaev, T. Kh. Chzhun, “Singularity formation in an incompressible boundary layer on an upstream moving wall under given external pressure”, Comput. Math. Math. Phys., 63:12 (2023), 2359–2371 |
| 33. |
S. I. Bezrodnykh, “Formulas for analytic continuation of Horn functions of two variables”, Comput. Math. Math. Phys., 62:6 (2022), 884–903 |
| 34. |
S. I. Bezrodnykh, V. I. Vlasov, “Singular behavior of harmonic maps near corners”, Complex Var. Elliptic Equ., 64:5 (2019), 838–851
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2
[x]
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| 35. |
S. I. Bezrodnykh, V. I. Vlasov, “Analytic-numerial method for computation of interaction of physical fields in semiconductor diode”, Matem. Mod., 27:7 (2015), 15–24 |
| 36. |
Bezrodnykh S.I., Vlasov V.I., Somov B.V., “Analytical models of generalized Syrovatskii's current layer with MHD shock waves”, Astronomic and Space Science Proceedings, 30, Springer-Verlag, Berlin, Heidelberg, 2012, 133–144
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2
[x]
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| 37. |
S. I. Bezrodnykh, V. I. Vlasov, “A boundary value problem for modeling physical fields in a semiconductor”, Comput. Math. Math. Phys., 44:12 (2004), 2112–2142 |
| 38. |
V. I. Vlasov, S. I. Bezrodnykh, “A Method for Solving a Singularly Perturbed System of Nonlinear Differential Equations”, Doc. Math., 69:1 (2004), 116–119 |
| 39. |
Math. Notes, 116:5 (2024), 905–919 |
| 40. |
S. I. Bezrodnykh, S. V. Pikulin, “Numerical-analytical method for nonlinear equations of Kolmogorov–Petrovskii–Piskunov type”, Comput. Math. Math. Phys., 64:11 (2024), 2484–2509 |
| 41. |
S. I. Bezrodnykh, O. V. Dunin-Barkovskaya, “Estimation of the remainder terms of certain Horn hypergeometric series”, Comput. Math. Math. Phys., 64:12 (2024), 2737–2750 |
| 42. |
S. I. Bezrodnykh, V. I. Vlasov, “Analysis of defects and harmonic grid generation in domains with angles and cutouts”, Comput. Math. Math. Phys., 63:12 (2023), 2402–2434 |
| 43. |
Math. Notes, 114:5 (2023), 704–715 |
| 44. |
T. Kh. Chzhun, S. I. Bezrodnykh, V. B. Zametaev, “Incompressible boundary layer with counterflows at a given pressure gradient”, Comput. Math. Math. Phys., 62:6 (2022), 974–982 |
| 45. |
Math. Notes, 112:6 (2022), 831–844 |
| 46. |
S. I. Bezrodnykh, V. I. Vlasov, “On the Behavior of Harmonic Mappings in Angles”, Math. Notes, 101:3 (2017), 566–572 |
| 47. |
Math. Notes, 117:4 (2025), 513–529 |
| 48. |
Math. Notes, 116:4 (2024), 577–587 |
| 49. |
S. I. Bezrodnykh, “Applying Lauricella's function to construct conformal mapping of polygons' exteriors”, Math. Notes, 116:6 (2024), 1183–1203 |
| 50. |
Math. Notes, 116:6 (2024), 1204–1217 |
| 51. |
S. I. Bezrodnykh, “Generalizations of the Jacobi identity to the case of the Lauricella function”, Integral Transforms and Special Functions, 35:10 (2024), 521-539 |
| 52. |
S. I. Bezrodnykh, S. V. Pikulin, “Numerical-analytical method for the Burgers equation with a periodic boundary condition”, Journal of Mathematical Sciences, 285:3 (2024), 301-315 |
| 53. |
S. I. Bezrodnykh, S. V. Pikulin, “Numerical-analytical method for the Burgers equation with a periodic boundary condition”, CMFD, 69, no. 2, PFUR, M., 2023, 208–223 |
| 54. |
S. I. Bezrodnykh, “Constructing basises in solution space of the system of equations for the Lauricella function $F_D^{(N)}$”, Integral Transforms and Special Functions, 34:11 (2023), 813-834 |
| 55. |
Math. Notes, 114:6 (2023), 1094–1102 |
| 56. |
Bezrodnykh S.I., Kolesnikov N.P., Somov B.V., “O razryvnykh techeniyakh plazmy vblizi peresoedinyayuschego tokovogo sloya v solnechnykh vspyshkakh”, Astronomicheskii zhurnal, 94:3 (2017), 259–276 |
| 57. |
S. I. Bezrodnykh, V. I. Vlasov, “Solution of the inverse problem for the Grad–Shafranov equation for magnetic field computation in tokamak”, Matem. Mod., 26:11 (2014), 57–64 |
| 58. |
Somov B.V., Bezrodnykh S.I., Ledentsov L.S., “Overview of open issues in the physics of large solar flares”, Astronomical and astrophysical transactions, 27:1 (2011), 69–81 |
| 59. |
Somov B.V., Bezrodnykh S.I., Vlasov V.I., Izvestiya RAN. Seriya fizicheskaya, 70:1 (2006), 16–28 |
| 60. |
Bezrodnykh S.I., Vlasov V.I., “Effektivnoe reshenie singulyarno vozmuschennoi sistemy nelineinykh differentsialnykh uravnenii”, Sovremennaya matematika i ee prilozheniya, 36 (2005), 8–17; Bezrodnykh S.I., Vlasov V.I., “Effective solution of a singularly perturbed system of nonlinear differential equations”, Journal of Mathematical Sciences, 145:5 (2007), 5155–5164 |
| 61. |
Bezrodnykh S.I., Vlasov V.I., “Metod resheniya sistemy nelineinykh differentsialnykh uravnenii, modeliruyuschei poluprovodnikovyi diod”, Spectral and Evolution Problems, 14 (2004), 140–151 |
| 62. |
S. I. Bezrodnykh, S. V. Pikulin, “On one method for solving the initial-boundary value problem for the Gardner equation”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 71, no. 3, PFUR, M., 2025, 353–369 |
| 63. |
Math. Notes, 118:4 (2025), 690–696 |
| 64. |
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745 |
| 65. |
A. I. Avetisyan, A. I. Aptekarev, S. I. Bezrodnykh, V. B. Betelin, M. A. Guzev, L. M. Zelenyi, N. N. Kolachevsky, N. N. Kudryavtsev, S. A. Nikitov, G. I. Savin, E. E. Tyrtyshnikov, V. Yu. Khomich, S. L. Chernyshev, B. N. Chetverushkin, A. A. Shananin, Yu. V. Vassilevski, V. A. Gushchin, I. B. Petrov, V. F. Tishkin, M. V. Iakobovski, A. V. Babakov, V. I. Golubev, V. A. Zernov, A. I. Lobanov, I. S. Nikitin, S. S. Simakov, Yu. D. Shevelev, A. V. Favorskaya, S. V. Fortova, N. I. Khokhlov, M. S. Belotserkovska, “Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)”, Mat. Model., 37:6 (2025), 194–196 |
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